Solve the following equation.
3(2x + 5) >2(x + 6)

-0.75

Step-by-step explanation:

Simplifying

3(2x + 5) = 2(x + 6)

Reorder the terms:

3(5 + 2x) = 2(x + 6)

(5 * 3 + 2x * 3) = 2(x + 6)

(15 + 6x) = 2(x + 6)

Reorder the terms:

15 + 6x = 2(6 + x)

15 + 6x = (6 * 2 + x * 2)

15 + 6x = (12 + 2x)

Solving

15 + 6x = 12 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

15 + 6x + -2x = 12 + 2x + -2x

Combine like terms: 6x + -2x = 4x

15 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0

15 + 4x = 12 + 0

15 + 4x = 12

Add '-15' to each side of the equation.

15 + -15 + 4x = 12 + -15

Combine like terms: 15 + -15 = 0

0 + 4x = 12 + -15

4x = 12 + -15

Combine like terms: 12 + -15 = -3

4x = -3

Divide each side by '4'.

x = -0.75

Simplifying

x = -0.75

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

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step-by-step explanation: he ehe heh step by the thy